Your responsibilities are your obligations, to accomplish the dreams you envision. Or in otherwise, your duty to make your thoughts become realities. Authority on the other hand has to do with the power to enforce laws and rules to ensure exact obedience. As a leader, you take more responsibility and act with less authority. This means, you take more action and give less orders. More orders at the expense of responsibilities will make you look like a dictator. Be a leader by example.